769426560 has 256 divisors, whose sum is σ = 3114835200. Its totient is φ = 175841280.

The previous prime is 769426549. The next prime is 769426561. The reversal of 769426560 is 65624967.

769426560 is a `hidden beast` number, since 7 + 69 + 4 + 26 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769426561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117780 + ... + 124140.

It is an arithmetic number, because the mean of its divisors is an integer number (12167325).

Almost surely, 2^769426560 is an apocalyptic number.

769426560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557417600).

769426560 is an abundant number, since it is smaller than the sum of its proper divisors (2345408640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

769426560 is a wasteful number, since it uses less digits than its factorization.

769426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 769426560 is about 27738.5392549788. The cubic root of 769426560 is about 916.3380584491.

The spelling of 769426560 in words is "seven hundred sixty-nine million, four hundred twenty-six thousand, five hundred sixty".